The sinusoidal function f(x)=33sin(7x−π12)+33 models the height, in centimeters, that a valve stem of the a tire is above ground x seconds after the tire begins to rotate.

How long does it take the valve stem to complete one revolution?

Answers

Answer 1

Answer:

0.90 seconds

Step-by-step explanation:

Answer 2

We will see that one complete revolution takes (2π/7) seconds.

How long does it take the valve stem to complete one revolution?

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

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Related Questions

1/3 + (3x+12) = 6x -11

Answers

Answer:

x = 70/9

Step-by-step explanation:

Answer:

70/9

Step-by-step explanation:

10 cm
8 cm
2.5 cm
8 cm
6 cm
2.5 cm
what’s the surface area

Answers

Answer:

10+8+2.5+8+6+2.5=37 .

ok you are understand or bot

Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

125%

Step-by-step explanation:

Divide 346.25 by 277

you get 1.25

multiply it by 100

Answer:

25%

Step-by-step explanation:

This is calculated this way:

$346.25/$277 = 1.25

Then subtract 1, because that part represents what Tessa had to start with. That leaves

0.25

That decimal equals 25%, and that is the answer.

X = 25 -3y and 4x + 5y = 9
What are the solutions

Answers

Answer:

x=-14, y=13

Step-by-step explanation:

4x+5y=9

x+3y=25

4x+5y=9

-4x-12y=-100

-7y=-91

y=13

Subsitute: x+3(13)=25

x=-14

What is the surface area

Answers

Answer:

72cm²

Explaination:

2(2*3)+2(2*6)+2(3*6)=72cm²

72cm :) ^ they explain it help there

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

Answer number 7!!!! QUICK PLEASEE

Answers

Answer:

Addition

Step-by-step explanation:

Addition property of inequality

M + 2m + 3m +m +3m show your work

Answers

m + 2m + 3m + m + 3m

Add all like terms. m counts as 1.

3m + 3m + m + 3m

6m + m + 3m

7m + 3m

10m

Need help pls


Find the missing angle

Answers

Answer:

? = 109 degrees

Step-by-step explanation:

180 -45-75 = 60

180-60-79 = 41

180-41-60 = 71

180-71 = 109 degrees

Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?

Answers

Answer:

Darius

Step-by-step explanation:

Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average

15+ points will give BRAINLIEST
Which function is equivalent to y=2(x+3)^2+5?

Answers

It is 3 is equivalent of y=2(x+3)^2+5

William has a sticker album. Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers, how many different ways can he put the stickers in the album?

Answers

Answer:

6 ways

Step-by-step explanation:

William has a sticker album.

We are told in the question that:

Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers

The many different ways that can he put the stickers in the album is calculated as:

18 stickers ÷ ( 1 stickers + 2 stickers)

= 18 ÷ 3

= 6 ways

Therefore, the different ways that he can put the stickers in the album is 6 ways

Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!

Answers

Answer:

B 3.5

Step-by-step explanation:

Hope it Helps!

3.5

Hope it helps my freind

can you help me please ​

Answers

Answer:

-20, probably.

Step-by-step explanation:

This is worded weirdly I assume it means there is a slope of one. Also, I hate that you got the points for this question by putting nonsense "answers" on questions, but you seemed like a halfway decent person.

Kelvin's math average is 75 and he wants to increase it to 89. He decides
that a 12% increase will allow him to reach his goal. Is he correct? Why or
why not?

Answers

Answer:

incorrect its actually 14%

Step-by-step explanation:

NEED ANSWER ASAP! ON A TIMED TEST!

Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.

Using the special properties of this figure, determine m

Answers

Answer:

21°

Step-by-step explanation:

<DCB = 3x + 8°

< DAB = 5x + 4°

Now

<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }

3x + 8° + 5x + 4° = 180°

8x + 12° = 180°

8x = 180° - 12°

8x = 168°

x = 168° / 8

Therefore x = 21°

Hope it will help :)

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

Answers

Buying 6.2 oz for $2.97 is the better buy.

I need the solution. Please give steps
y = 10x + 20
y = 20x + 10

Answers

Answer:

If your trying to answer for X, here is how you do it.

For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X =  Y/10 − 2

Or

X = [tex]\frac{Y}{10}[/tex] − 2

For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X = Y/20 − 1/2

Or

X = [tex]\frac{Y}{20}[/tex] − [tex]\frac{1}{2}[/tex]

Id.k uhhhh

X = 30?

wee e wee e we

I dont got steps sorry :v

Please help fasttt question worth 10 points will get branliest answer if right

Answers

Answers:

y = 2x - 3
y = x - 2

Can someone help me with this please

Answers

12x + 13y 13x + y and 2(x+8)

5/8 + 3/4 divide by -2/3 - 5/6

Answers

Answer: -4/3

Step-by-step explanation: hope this helps :)

Please help ASAP Which equation represents the function graphed
on the
coordinate plane?

Answers

Answer:

g(x) = |x + 4| - 2

I recommend next time you try substituting the x-values from points the line meets into each function until g(x) matches the y-value. For example, the line/function passes through the point (1, 3).  Substitute the x-value: 1 into the function where it says x. That would give you 3 = |1 + 4| - 2. (If you're wondering where I got 3 from g(x) is basically the same as y. Simplify the values in the "||" first. You should then get 3 = 5 - 2. Simplify that and you get 3 = 3 which means g(x) = |x + 4| - 2 is the correct answer. If you were to get anything else other than 3 such as "3 = 4", it would not be correct.

Answer:

A

Step-by-step explanation:

100 on my unit review


What is the value of x?

Answers

Answer:

4x= 40

Step-by-step explanation:

40/4 = 10

4x= 40 is the correct answer

Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years

Answers

Answer: £180

Step-by-step explanation:

The interest gotten for the 10 years will be calculated as:

= Principal × Rate × Time

= 150 × 2% × 10

= 150 × 0.02 × 10

= 30

The amount he has in the bank account at the end of the 10 year will be:

= Principal + Interest

= £150 + £30

= £180

PLEASE PLEASE PLEASE HELP!!!!!

Answers

Answer:

5 hours

Step-by-step explanation:

use the variable "h" for number of hours

10+5h=7h

subtract 5h from both sides

2h=10

divide both sides by 2

h=5

Rewrite as a simplified fraction. \large{0.\overline{23} = {?}}0. 23

Answers

Answer:

23/100

Step-by-step explanation:

Given the decimal value 0.23, to write as a fraction;

0.23 = 23/100

The place value of dot will be replaced as 1 at the denominator and since the decimal is in 2 decimal places, two zeros will be added to after the 1 to make it 10 thereby making the required fraction 23/100.  Hence the value of 0.23 as a fraction will be 23/100

what is the inverse of f(x)=2-2x

Answers

In the usual sense, it has no inverse function. Since it is not an injection (f(0)=f(2)=0), an inverse function would have to map 0 both to 0 and 2, and that’s impossible.

However, if you restrict the domain to [1,+oo> (to make it injective), and the codomain to [-1,+oo> (to make it surjective), then it has an inverse function, given by g(y)=1+sqrt(y+1).

y = -x^2

Answer the problem.​

Answers

Answer:

x=0

Step-by-step explanation:

substitute y=0

0= -x^2

then swap the sides

-x^2=0 ,

change the signs

x^2=0

set the base equal to 0

x=0

The answer to you question is x=0

Which best describes the composition of transformations that maps ΔLMN to ΔL'M'N?

Answers

Answer:

a

Step-by-step explanation:

its A

Option C us correct, (D₂oR x-axis)(ΔLMN)  best describes the composition of transformations that maps ΔLMN to ΔL'M'N

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the composition of transformations that maps ΔLMN to ΔL'M'N.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane.

A translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis.

As we observe the graph dilation and reflection applied to triangle LMN to get triangle L'M'N'.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

(D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

Hence, Option C us correct, (D₂oR x-axis)(ΔLMN) is the transformations that maps ΔLMN to ΔL'M'N.

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SOMEONE HELP ME!! NO ONE WILL HELP T^T WILL MARK BRAINLIEST

Answers

Answer: nope!

Step-by-step explanation: there are 4 quarts in a gallon and we can see by adding the mango juice, there will be no space!

Water (2 quarts) mango juice (2 quarts) equals a gallon

Ginger ale = one gallon

That’s already 2 gallons and we still have the 2 pints of pineapple juice!

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